Question

An irregular hexagon has angles that measure the following. Angle 1: 2x + 15 Angle 2: 9x - 3 Angle 3: 77 Angle 4: 8x + 8 Angle 5: 13x Angle 6: x - 4 What is the value of x?

Answer 1

Answer: 19

Explanation:

1) You combine like terms with all the angles

Ex. 2x + 15 + 9x - 3 + 77 + 8x + 8 + 13x + x - 4, which equals 33x + 93

2) You set up an equation using the formula for the sum of the interior angles

Ex. 33x + 93 = 180(n - 2)

3) Since a hexagon has 6 sides, n is 6

Ex. 33x + 93 = 180(6 - 2)

4) Solve like a regular equation

Ex. 33x + 93 = 180(6 - 2)

33x + 93 = 720

- 93 = - 93

33x = 627

- Divide 627 by 33

x = 19